Question

1 a bag contains 3 red marbles, 2 blue marbles, and 5 green marbles. what is the probability of drawing a blue marble at random? a)\\(\frac{2}{10}\\) b)\\(\frac{1}{4}\\) c)\\(\frac{2}{5}\\) d)\\(\frac{1}{10}\\) 2. a single six - sided die is rolled. what is the probability of rolling a number greater than 4? express your answer as a fraction. a)\\(\frac{4}{7}\\) b)\\(\frac{1}{4}\\) c)\\(\frac{2}{6}\\) d)\\(\frac{2}{3}\\) 3. a spinner has 8 equal sections: 3 yellow, 1 red, and 4 blue. if you spin once, what is the probability of landing on yellow or red? write your answer as a simplified fraction.

Explanation:

Question 1

Step1: Find total number of marbles

Total marbles = 3 (red) + 2 (blue) + 5 (green) = 10

Step2: Calculate probability of blue marble

Probability = $\frac{\text{Number of blue marbles}}{\text{Total number of marbles}}$ = $\frac{2}{10}$

Step1: Identify numbers greater than 4 on a die

Numbers on a die: 1,2,3,4,5,6. Numbers >4: 5,6 (2 numbers)

Step2: Calculate probability

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total outcomes}}$ = $\frac{2}{6}$

Step1: Find number of yellow or red sections

Yellow sections = 3, Red sections = 1. Total favorable = 3 + 1 = 4

Step2: Calculate probability

Probability = $\frac{\text{Number of favorable sections}}{\text{Total sections}}$ = $\frac{4}{8}$ = $\frac{1}{2}$ (simplified)

Answer:

A. $\frac{2}{10}$

Question 2